Global existence and uniform decay for the one-dimensional model of thermodiffusion with second sound

被引：3
|
作者：
Zhang, Ming [1 ]
Qin, Yuming [2 ]
机构：
[1] Donghua Univ, Coll Informat Sci & Technol, Shanghai 201620, Peoples R China
[2] Donghua Univ, Dept Appl Math, Shanghai 201620, Peoples R China
来源：
BOUNDARY VALUE PROBLEMS | 2013年
关键词：
thermodiffusion; second sound; global existence; exponential decay; DYNAMICAL PROBLEM;
D O I：
10.1186/1687-2770-2013-222
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we investigate an initial boundary value problem for the one-dimensional linear model of thermodiffusion with second sound in a bounded region. Using the semigroup approach, boundary control and the multiplier method, we obtain the existence of global solutions and the uniform decay estimates for the energy.
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收藏
页数：11
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